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Theorems · Theorem · group theory

mod_natCard_nsmul

∀ {G : Type u_6} [inst : AddGroup G] (a : G) (n : ℕ), (n % Nat.card G) • a = n • a
Defined in
Mathlib.GroupTheory.OrderOfElement
Cited by
1 results in Mathlib
Foundations
Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddGroup
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

nsmul_zmod_val_inv_nsmul · cited by 1nsmul_zmod_val_inv_nsmulAddGroup · cited by 4410AddGroupNat.card · cited by 844Nat.cardmod_addOrderOf_nsmul · cited by 7mod_addOrderOf_nsmuladdOrderOf_dvd_natCard · cited by 6addOrderOf_dvd_natCardmod_natCard_nsmulCITED BYCITES

Cites4

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Cited by1

Results whose statement or proof uses this declaration.